Hi, I just used my GS4 and went to google.com and googles a few tings and no problems. Can you give us some more details, of exactly what you are doing and what happens?

Try clearing your cache and cookies

Forum Response - Clear cache and cookies

also try taking the battery out when the phone is still on.

Let me know if you still have any problems.

Thanks but it does not help. I try everyting. To better understand what a problem i make video from screen. There is compearing mozilla and stock browser. https://youtu.be/v96pDNGvWII

That could be a Hardware problem, you might want to take it back to the company you got it from and show them, you could as a last resort, Factory Reset, and see what that does, bit drastic, but it might be necessary.